Path integrals in configuration space in weakly relativistic many-body theory

Journal Article · Mon Sep 01 00:00:00 EDT 1986 · Theor. Math. Phys.; (United States)

DOI:https://doi.org/10.1007/BF01018225· OSTI ID:6990470

Blazhievskii, L F

The functional method of quantizing weakly relativistic theories is considered. It is shown that in the general case of systems with Lagrangian nonquadratic in the velocities the Green's function can be represented in the form of the regular part of a path integral in the configuration space. On this basis, a functional formulation of equilibrium statistical mechanics that does not require a Hamiltonian description of the system is developed. The results are used to determine the free energy of a system of charged particles described by the Darwin Lagrangian.

• Research Organization: State Univ., Luov
• OSTI ID: 6990470
• Journal Information: Theor. Math. Phys.; (United States), Journal Name: Theor. Math. Phys.; (United States) Vol. 66:3; ISSN TMPHA
• Country of Publication: United States
• Language: English

Related Subjects

657002* -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CHARGED PARTICLES
CLASSICAL MECHANICS
DENSITY MATRIX
ELECTRON GAS
ENERGY
ENERGY RANGE
FEYNMAN PATH INTEGRAL
FIELD THEORIES
FLUIDS
FREE ENERGY
FUNCTIONS
GASES
GREEN FUNCTION
HAMILTONIANS
INTEGRALS
LAGRANGIAN FIELD THEORY
MANY-BODY PROBLEM
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MATRICES
MECHANICS
PARTICLE MODELS
PHYSICAL PROPERTIES
QUANTIZATION
QUANTUM FIELD THEORY
QUANTUM OPERATORS
RELATIVISTIC RANGE
STATISTICAL MECHANICS
THERMODYNAMIC PROPERTIES